Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems

被引：4
|
作者：
Yang, Ming-hai [1 ]
Chen, Yue-fen [1 ]
Xue, Yan-fang [1 ]
机构：
[1] Xinyang Normal Univ, Dept Math, Xinyang 464000, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2016年 / 32卷 / 01期
关键词：
second-order Hamiltonian systems; periodic solutions; Fountain theorem;
D O I：
10.1007/s10255-016-0552-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems { u(t) + A(t)u(t) +del F(t, u(t)) = 0, u(0) - u(T) = u(0) - u(T) = 0, where F(t, u) is even in u, and del F(t, u) is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition.
引用
收藏
页码：231 / 238
页数：8
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